Stand-up Maths

What's up with this strange number coincidence

We believe that the "there must exist a single-angle polyhedron for any angle θ with an algebraic sine" conjecture is true but don't have a nice proof. There seem to be all the required parts for the proof in papers by Sydler and Jessen, but it's not fully assembled.

We shot a YouTube video about film formats on 35mm film

My UK election prediction was weirdly accurate: am I a mathematical genius?

2^136,279,841 - 1 has 41,024,320 digits and is prime! Read all about the new largest prime number ever found

With a trusted 3rd party, running Secret Santa is easy: The 3rd party labels each person 1,…,n, and then randomly chooses a derangement from among all possible derangements of n numbers. Person i will then give a gift to the number in position i of the derangement. The trusted 3rd party is responsible for keeping the derangement secure, and for telling each person whom to give a gift to. The question is: Is there an algorithm that would allow Secret Santa to be played without a trusted 3rd party?